Chapter 9.5, Problem 9E

The payoff matrix for a game is

$\left[\begin{array}{ccc}-3& 3& 2\\ -3& 1& 1\\ 1& -2& 1\end{array}\right]$

a. Find the expected payoff to the roe player if the row player $R$ uses the maximum pure strategy and the column player $C$ uses the minimax pre strategy.

b. Find the expected payoff to the row player if $R$ uses the maximum strategy 50% of the time and chooses each of the other two rows 25% of the time, while $C$ uses the minimax strategy 60% of the time and chooses each of the other columns 20% of the time.

c. Which of these pairs of strategies is more advantageous to the row player?